7z^2-6z=0

Solution for 7z^2-6z=0 equation:

Simplifying
7z2 + -6z = 0

Reorder the terms:
-6z + 7z2 = 0

Solving
-6z + 7z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-6 + 7z) = 0

Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

Move all terms containing z to the left, all other terms to the right.

Simplifying
z = 0
Subproblem 2
Set the factor '(-6 + 7z)' equal to zero and attempt to solve:

Simplifying
-6 + 7z = 0

Solving
-6 + 7z = 0

Move all terms containing z to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 7z = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7z = 0 + 6
7z = 0 + 6

Combine like terms: 0 + 6 = 6
7z = 6

Divide each side by '7'.
z = 0.8571428571

Simplifying
z = 0.8571428571
Solution
z = {0, 0.8571428571}